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The initial meadows

Published online by Cambridge University Press:  12 March 2014

Inge Bethke  and
Piet Rodenburg
Inge Bethke
Affiliation:
Informatics Institute, University of Amsterdam, Science Park 107, 1098 Xg Amsterdam, The Netherlands. E-mail: I.Bethke@uva.nl
Piet Rodenburg
Affiliation:
Informatics Institute, University of Amsterdam, Science Park 107, 1098 Xg Amsterdam, The Netherlands. E-mail: P.H.Rodenburg@uva.nl
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Abstract

A meadow is a commutative ring with an inverse operator satisfying 0−1 = 0. We determine the initial algebra of the meadows of characteristic 0 and prove a normal form theorem for it. As an immediate consequence we obtain the decidability of the closed term problem for meadows and the computability of their initial object.

Keywords

Data structuresspecification languagesinitial algebra semanticsword problemdecidabilitycomputable algebrasnormal forms
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 75 , Issue 3 , September 2010 , pp. 888 - 895
Copyright
Copyright © Association for Symbolic Logic 2010

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References

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